Research output: Contribution to journal › Article › peer-review
Presentations of Coxeter type are defined for semigroups. Minimal right ideals of a semigroup defined by such a presentation are proved to be isomorphic to the group with the same presentation. A necessary and sufficient condition for these semigroups to be finite is found. The structure of semigroups defined by Coxeter-type presentations for the symmetric and alternating groups is examined in detail.
Original language | English |
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Pages (from-to) | 1063-1075 |
Number of pages | 13 |
Journal | Proceedings of the Royal Society of Edinburgh, Section A: Mathematics |
Volume | 125 |
Issue number | 5 |
DOIs | |
Publication status | Published - Jan 1995 |
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Jonathan Fraser (Editor)
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Colva Mary Roney-Dougal (Member of editorial board)
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Alan William Hood (Member of editorial board)
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David Gerard Dritschel (Editor)
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Research output: Contribution to journal › Article › peer-review
Research output: Contribution to journal › Article › peer-review
Research output: Contribution to journal › Article › peer-review
Research output: Contribution to journal › Article › peer-review
Research output: Contribution to journal › Article › peer-review
ID: 118763